We're dividing 771774 by 76 
Let's see how many times 76 fits into 771774.

Step 1:
The number 76 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 76

Moving on to step 2:
The number 76 fits into 77 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 76 from 77 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 76

Let's proceed to step 3:
If we divide 11 by 76, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 76

Moving on to step 4:
117 divided by 76 is 1 with a remainder of 41.
The next digit of our result is 1. 
Result so far: 101.0
Subtracting 76 from 117 leaves us with 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 76

On to step 5:
When dividing 417 by 76, we get 5 with a remainder of 37.
Use 5 as the next digit of our solution. 
Result so far: 1015.0
If we subtract 380 from 417, we get 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 76

Step 6:
When dividing 374 by 76, we get 4 with a remainder of 70.
The number 4 becomes the next digit in our result. 
Result so far: 10154.0
If we subtract 304 from 374, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 7:
The number 76 fits into 700 9 times, leaving a remainder of 16.
The next digit of our result is 9. 
Result so far: 10154.9
Subtract 684 from 700 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
The number 76 fits into 160 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 10154.92
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
76 goes into 80 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 10154.921
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
40 divided by 76 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 10154.921
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 11:
If we divide 400 by 76, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 10154.92105
The remainder is 20 after subtracting 380 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 12:
The number 76 fits into 200 2 times, leaving a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 10154.921052
If we take 152 away from 200, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 13:
When dividing 480 by 76, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 10154.9210526
Subtract 456 from 480 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
The number 76 fits into 240 3 times, leaving a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 10154.92105263
If we take 228 away from 240, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 10154.92105263 and a remainder of 1.2e-08.